4783632000 has 512 divisors, whose sum is σ = 18941644800. Its totient is φ = 1044172800.

The previous prime is 4783631981. The next prime is 4783632019. The reversal of 4783632000 is 2363874.

It is an interprime number because it is at equal distance from previous prime (4783631981) and next prime (4783632019).

It is a super-2 number, since 2×4783632000² = 45766270222848000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7727691 + ... + 7728309.

It is an arithmetic number, because the mean of its divisors is an integer number (36995400).

Almost surely, 2^4783632000 is an apocalyptic number.

4783632000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4783632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9470822400).

4783632000 is an abundant number, since it is smaller than the sum of its proper divisors (14158012800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4783632000 is a wasteful number, since it uses less digits than its factorization.

4783632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4783632000 is about 69163.8055633147. The cubic root of 4783632000 is about 1684.9457434240.

Adding to 4783632000 its reverse (2363874), we get a palindrome (4785995874).

The spelling of 4783632000 in words is "four billion, seven hundred eighty-three million, six hundred thirty-two thousand".